New technique for phase shift analysis: Multienergy solution of inverse scattering problem

Abstract

We demonstrate a new approach to the analysis of extensive multi-energy data. For the case of d + 4 He, we produce a phase shift analysis covering for the energy range 3 to 11 MeV. The key idea is the use of a new technique for data-to-potential inversion which yields potentials which reproduce the data simultaneously over a range of energies. It thus effectively regularizes the extraction of phase shifts from diverse, incomplete and possibly somewhat contradictory data sets. In doing so, it will provide guidance to experimentalists as to what further measurements should be made. This study is limited to vector spin observables and spin-orbit interactions. We discuss alternative ways in which the theory can be implemented and which provide insight into the ambiguity problems. We compare the extrapolation of these solutions to other energies. Majorana terms are presented for each potential component. 25.45.De, 25.

Scanning Tunnelling Microscopy on Ultrathin Organic Layers of Phthalocyanine and Naphthalocyanines on Highly Oriented Pyrolytic Graphite (0001)

“…It has been carefully assembled and evaluated by Kuznetsova and Kukulin [26] who also present a phase shift analysis (PSA). The serious problems arising with such analyses motivate work in preparation, see [27], in which this data is fitted in the course of demonstrating how inversion leads to a solution of the PSA problem. Here, our concern is to exploit potential models to confront experiment with RGM.…”

“…The second (set 'SG') combines the differential cross sections at 19 energies between 2.935 and 11.475 MeV [29] and vector analysing powers at 12 energies between 3.0 and 11.5 MeV [30], 539 data in all. As in [27], the differential cross sections and analysing powers of one of the two (J or SG) data sets for all energies are fitted to a single potential (which we designate respectively as the J or SG potential) using the direct data-to-potential form of IP inversion described in section 3.2.3. We have not exploited the possibility [9] of determining a fully energy-dependent potential, the real components all being energy independent.…”

Spin 1 inversion: A Majorana tensor force for deuteron alpha scattering

“…This range includes broad 2 + resonances and a region of strong mixing between the 1 + channels. Ref [13] applies direct data-to-potential IP inversion to data from the same source but without fitting T 2i .…”

Using inverse scattering methods to study inter-nucleus potentials

“…The serious problems arising with such analyses motivate work in preparation, see Ref. [27], in which this data is fitted in the course of demonstrating how inversion leads to a solution of the phase shift analysis problem. Here, our concern is to exploit potential models to confront experiment with RGM.…”